Select all of the following that represent the exact solutions of sin (x) = sqrt (3) / 2

Step: take the inverse sine of both side of the equation

x=arcsin (√3/2)

The exact value of arcsin (√3/2) is π/3

Step 2: the sine function is positive in the 1st and 2nd quadrants. Therefore to find the solution in the second quadrant we need to subtract the reference angle from π.

x = π - π/3

We need to simply and comes out as x = 2 π/3

Answer: x = π/3 and x = 2π/3